Definition:Foiaș Constant/First
< Definition:Foiaș Constant(Redirected from Definition:First Foias Constant)
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Definition
Let:
- $x_{n + 1} = \paren {1 + \dfrac 1 {x_n} }^{x_n}$
for $n = 1, 2, 3, \ldots$
The first Foiaș constant is the limit of $x_n$ as $n \to \infty$.
Decimal Expansion
The decimal expansion of the first Foiaș Constant starts:
- $x_{\infty} = 2 \cdotp 29316 \, 62874 \, 11861 \, 03150 \, 80282 \, 91250 \, 80586 \, 43722 \, 57290 \, 32712 \, 12485 \, 37 \ldots$
Also see
- Results about the Foiaș constants can be found here.
Source of Name
This entry was named for Ciprian Ilie Foiaș.
Sources
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